GCSEMathsEdexcelFoundationFlashcardsAlgebraForming & Solving Equations

Forming & Solving Equations (Edexcel GCSE Maths: Foundation): Flashcards

Exam code: 1MA1

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FrontForming Equations from Words
Use algebra to represent double the amount of a quantity, given that $x$ is the initial quantity.

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Cards in this collection (8)

Use algebra to represent double the amount of a quantity, given that $x$ is the initial quantity.
Double the amount of a quantity $x$ can be written as $2 x$ .
Use algebra to represent half the amount of a quantity, given that $x$ is the initial quantity.
Half the amount of a quantity $x$ can be written as $\frac{1}{2} x$ or $\frac{x}{2}$ or $0.5 x$ .
Use algebra to represent five more than a quantity, given that $x$ is the initial quantity.
Five more than a quantity $x$ can be written as $x + 5$ .
This is not the same as $5 x$ .
Use algebra to represent ten lots of a quantity, given that $x$ is the initial quantity.
Ten lots of a quantity $x$ can be written as $10 x$ .
This is not the same as $x + 10$ .
True or False?
If my sister is 2 years younger than me, then $x$ is my age and $x - 2$ is her age.
True.
If my sister is 2 years younger than me, then $x$ is my age and $x - 2$ is her age.
It is also true to say that $y + 2$ is my age and $y$ is her age.
Three bags contain $x$ , $x + 5$ and $x + 10$ marbles each.
If there are 75 marbles in total, explain how to form an equation.
Three bags contain $x$ , $x + 5$ and $x + 10$ marbles each.
If there are 75 marbles in total, then an equation can be formed by adding all the quantities up and setting them equal to 75.
This gives $x + (x + 5) + (x + 10) = 75$ .
Examiners want to see this full equation (before simplifying or solving).
If the total perimeter of the regular pentagon below is $100$ cm, show how to form an equation.
The pentagon being regular means the side lengths are all equal.
If the total perimeter of a regular pentagon with side length $(x + 2)$ is $100$ cm, then:
1. Find the total perimeter in terms of $x$ by multiplying $(x + 2)$ by 5
2. Set this equal to 100
This forms the equation $5 (x + 2) = 100$ .
True or False?
If the interior angles of an $n$ -sided polygon are given algebraically in terms of $x$ , you can calculate the size of $x$ as the total sum of the angles will always be $180 (n - 2)$ .
True.
If the interior angles of an $n$ -sided polygon are given algebraically in terms of $x$ , you can calculate the size of $x$ as the total sum of the angles will always be $180 (n - 2)$ .
E.g. for any hexagon (regular or irregular), the sum of its interior angles will always be $180 (6 - 2) = 720 °$ .
So if the interior angles are in terms of $x$ , add them together and set equal to $720 °$ .

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